(Amateur)Mathematician: 3 is
prime, 5 is prime, 7 is prime, and by induction, we have that all the odd
integers are prime."
Statistician: 100% of the sample
5, 13, 37, 41 and 53 is prime, so all odd numbers must be prime.
Mechanical Statistician: 3 is
prime, 5 is prime, 7 is prime, 9 is an outlier, 11 is prime, 13 is prime, ....
all odd numbers are prime.
Measure nontheorist: there are
exactly as many odd numbers as primes (Euclid, Cantor), and exactly one even
prime (namely 2), so there must be exactly one odd nonprime (namely
1).
Physicist: 3 is prime, 5 is
prime, 7 is prime, 9 is ... uh, 9 is an experimental error, 11 is prime, 13 is
prime... Well, it seems that you're right."
Wouldn't a modern physicist
employ something like renormalization?: 3 is prime, 5 is prime, 7 is prime, 9 is
...9/3 is prime 11 is prime, 13 is prime, 15 is ... 15/3 is prime
17 is prime, 19 is prime, 21 is
... 21/3 is prime.
Quantum Physicist: All numbers
are equally prime and non-prime until observed.
Chemist: "3 is prime, 5 is prime,
7 is prime.. that's enough." 1 prime, 3 prime, 5 prime...hey, let's
publish!
Cosmologist: 3 is prime, yes it
is true....
First Engineer: 3 is prime, 5 is
prime, 7 is prime, 9 is ..., 9 is ..., well if you approximate, 9 is prime, 11
is prime, 13 is prime...Well, it does seem right."
Engineer: 3 is prime, 5 is prime,
7 is prime, 9 is not working, fetch toolbox.
Professor: 3 is prime, 5 is
prime, 7 is prime, and the rest are left as an exercise for the
student.